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It is argued that the relativistic Vlasov--Maxwell equations of the kinetictheory of plasma approximately describe a relativistic system of $N$ chargedpoint particles interacting with the electromagnetic Maxwell fields in aBopp--Land\'e--Thomas--Podolsky (BLTP) vacuum, provided the microscopicdynamics lasts long enough.The purpose of this work is not to supply anentirely rigorous vindication, but to lay down a conceptual road map for themicroscopic foundations of the kinetic theory of special-relativistic plasma,and to emphasize that a rigorous derivation seems feasible. Rather than workingwith a BBGKY-type hierarchy of $n$-point marginal probability measures, theapproach proposed in this paper works with the distributional PDE of the actualempirical 1-point measure, which involves the actual empirical 2-point measurein a convolution term.The approximation of the empirical 1-point measure by acontinuum density, and of the empirical 2-point measure by a (tensor) productof this continuum density with itself, yields a finite-$N$ Vlasov-like set ofkinetic equations which includes radiation-reaction and nontrivial finite-$N$corrections to the Vlasov--Maxwell-BLTP model. The finite-$N$ correctionsformally vanish in a mathematical scaling limit $N\to\infty$ in which charges$\propto 1/\surd{N}$. The radiation-reaction term vanishes in this limit, too.The subsequent formal limit sending Bopp's parameter $\varkappa\to\infty$yields the Vlasov--Maxwell model.

Microscopic foundations of kinetic plasma theory: The relativistic Vlasov--Maxwell equations and their radiation-reaction-corrected generalization